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The Wiener Index of the Associate Graph of $Z_n$ | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 27 فروردین 1405 اصل مقاله (444.74 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2026.30991.2697 | ||
| نویسندگان | ||
| C.M. Barasara* 1؛ K.D. Thakor2 | ||
| 1Department of Mathematics, Hemchandracharya North Gujarat University, Patan - 384265, Gujarat, India | ||
| 2Research Scholar, Department of Mathematics, Hemchandracharya North Gujarat University, Patan - 384265, Gujarat, India | ||
| چکیده | ||
| Let $R$ be a commutative ring, the associate graph, $Ass(R)$ of ring $R$ has the elements of ring $R$ as vertices and two distinct vertices $u$ and $v$ are adjacent if $u$ and $v$ are associate elements of $R$. In this article we investigate the Wiener index of $Ass(\mathbb{Z}_{n})$ and its line graph for all $n\in \mathbb{N}$. We also give some characterization results regarding degree, diameter, girth, clique number, chromatic number, domination number, and independence number of $Ass(\mathbb{Z}_{n})$ and $L\left( Ass(\mathbb{Z}_{n}) \right)$. | ||
| کلیدواژه‌ها | ||
| associate graph؛ Wiener index؛ line graph؛ commutative ring | ||
| مراجع | ||
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